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Search: id:A058483
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| A058483 |
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McKay-Thompson series of class 12E for Monster. |
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+0
1
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| 1, -1, 7, -9, 10, -23, 38, -47, 75, -112, 148, -217, 293, -385, 553, -728, 928, -1272, 1670, -2111, 2765, -3566, 4504, -5784, 7300, -9123, 11592, -14458, 17838, -22342, 27668, -33884, 41843, -51344, 62548, -76515, 92989, -112514, 136687, -164961, 198190, -238991
(list; graph; listen)
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OFFSET
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-1,3
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COMMENT
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G.f. A(x) satisfies 0=f(A(x^2)x,A(x^4)x^2) where f(u,v)=12+v^2-2u^2-u^2v. - Michael Somos Apr 21 2004
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REFERENCES
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D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
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LINKS
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Index entries for McKay-Thompson series for Monster simple group
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EXAMPLE
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T12E = 1/q - q + 7*q^3 - 9*q^5 + 10*q^7 - 23*q^9 + 38*q^11 - 47*q^13 + ...
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PROGRAM
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(PARI) a(n)=local(A); if(n<-1, 0, n++; A=x^2*O(x^n); A=((eta(x^2+A)^2*eta(x^3+A))/(eta(x+A)*eta(x^6+A)^2))^2; polcoeff(A-3*x/A, n)) /* Michael Somos Apr 21 2004 */
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CROSSREFS
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Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
Sequence in context: A118621 A117933 A112162 this_sequence A162308 A108815 A161992
Adjacent sequences: A058480 A058481 A058482 this_sequence A058484 A058485 A058486
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 27 2000
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